The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  1  1  1 12  1 24 24  1  6  1 21 12  1  1  1  1 18 15  1  1  1  1  1 18  1  1  3  1  1  6  0  1  1 18  1  1  1  6  1  0 18  3  1  1 21  1  9  1  1  1  1  1
 0  1  0  0 18  1 19  1 18  0 26 23 22  7 12 25 17  1  6  1 12 15  1 24  1  1  4 11  5 19  3  1 17 14 10 20 17  1 25  6  1 18  5  1  3  3  6  1 10 10 18  9 25  1  1  1 20 24 24 26  1  2 15 10 21 23
 0  0  1  0 16 25 14  7  4 23 12 13 11 15 24 21 14 10 20 17  1 17  2 18 11 25 21  3 25 10  1  9 11  9 26 26  7 15 22 19 26 19 24  9 24 17 22 10  9 11  8  1 17 20 15 14 14 19  1  3 13  8 16  4  1 19
 0  0  0  1 14  9  5  5 22 24  1  6 16 13 17 21  2  9 19 17  7 14  1  4 24 13 26  0 26 13  8 25 24 23  9 16  4 20 11  9  2 17  3  4  1 10 24 16  2  3  9 16  5 24 21 19 19  7  2 26 11 24 23  7  7 23

generates a code of length 66 over Z27 who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+1254x^121+2556x^122+5130x^123+8670x^124+12558x^125+16710x^126+22140x^127+28728x^128+35718x^129+41808x^130+49818x^131+56664x^132+55848x^133+51690x^134+46256x^135+36348x^136+25296x^137+16104x^138+9282x^139+5250x^140+1980x^141+936x^142+384x^143+42x^144+84x^145+96x^146+36x^148+30x^149+12x^151+6x^152+6x^155

The gray image is a code over GF(3) with n=594, k=12 and d=363.
This code was found by Heurico 1.16 in 560 seconds.